메뉴 건너뛰기




Volumn 281, Issue 1, 2003, Pages 125-137

Positive solutions of the porous medium equation with hysteresis

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037670870     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00568-1     Document Type: Article
Times cited : (5)

References (18)
  • 1
    • 0002293879 scopus 로고
    • The porous medium equation
    • A. Fasano, M. Primecerio (Eds.), Lecture Notes in Math. Vol. 1224, Springer, Berlin
    • D.G. Aronson, The porous medium equation, in: A. Fasano, M. Primecerio (Eds.), Some Problems in Nonlinear Diffusion, in: Lecture Notes in Math., Vol. 1224, Springer, Berlin, 1986.
    • (1986) Some Problems in Nonlinear Diffusion
    • Aronson, D.G.1
  • 2
    • 0003478998 scopus 로고
    • Nonlinear Semigroups and Differential Equations in Banach Spaces
    • Noordhoff, Leyden
    • V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff, Leyden, 1976.
    • (1976)
    • Barbu, V.1
  • 3
    • 0003004337 scopus 로고
    • On some unsteady motions of a liquid or a gas in a porous medium
    • (Russian PMM)
    • G.I. Barenblatt, On some unsteady motions of a liquid or a gas in a porous medium, Appl. Math. Mech. 16 (1) (1952) 67-78 (Russian PMM).
    • (1952) Appl. Math. Mech. , vol.16 , Issue.1 , pp. 67-78
    • Barenblatt, G.I.1
  • 4
    • 0008834501 scopus 로고    scopus 로고
    • Unsaturated porous flows with play-type capillary hysteresis
    • A. Beliaev, Unsaturated porous flows with play-type capillary hysteresis, Russian J. Math. Phys. 8 (1) (2001) 1-13.
    • (2001) Russian J. Math. Phys. , vol.8 , Issue.1 , pp. 1-13
    • Beliaev, A.1
  • 5
    • 0035358699 scopus 로고    scopus 로고
    • A theoretical model of hysteresis and dynamic effects in capillary relation for two-phase flow in porous media
    • A. Beliaev, S.M. Hassanizadeh, A theoretical model of hysteresis and dynamic effects in capillary relation for two-phase flow in porous media, Transport Porous Media 43 (3) (2001) 487-510.
    • (2001) Transport Porous Media , vol.43 , Issue.3 , pp. 487-510
    • Beliaev, A.1    Hassanizadeh, S.M.2
  • 6
    • 0035735426 scopus 로고    scopus 로고
    • Analysis of a new model for unsaturated flow in porous media including hysteresis and dynamic effects
    • A. Beliaev, R.J. Schotting, Analysis of a new model for unsaturated flow in porous media including hysteresis and dynamic effects, Comput. Geosci. 5 (4) (2001) 345-368.
    • (2001) Comput. Geosci. , vol.5 , Issue.4 , pp. 345-368
    • Beliaev, A.1    Schotting, R.J.2
  • 7
    • 0011655918 scopus 로고
    • Convergence and approximation of semigroups of nonlinear operators in Banach spaces
    • H. Brézis, A. Pazy, Convergence and approximation of semigroups of nonlinear operators in Banach spaces, J. Funct. Anal, 9 (1972) 63-74.
    • (1972) J. Funct. Anal. , vol.9 , pp. 63-74
    • Brézis, H.1    Pazy, A.2
  • 9
    • 84966243152 scopus 로고
    • Some relations between nonexpansive and order preserving mappings
    • M.G. Crandall, L. Tartar, Some relations between nonexpansive and order preserving mappings, Proc. Amer. Math. Soc. 78 (1980) 385-390.
    • (1980) Proc. Amer. Math. Soc. , vol.78 , pp. 385-390
    • Crandall, M.G.1    Tartar, L.2
  • 10
    • 0003948502 scopus 로고
    • Les Inéquations en Mécanique et Physique
    • Dunod, Paris
    • G. Duvaut, J.-L. Lions, Les Inéquations en Mécanique et Physique, Dunod, Paris, 1972.
    • (1972)
    • Duvaut, G.1    Lions, J.-L.2
  • 12
    • 0012743046 scopus 로고    scopus 로고
    • Homogenization of diffusion equation with scalar hysteresis operator
    • J. Franců, Homogenization of diffusion equation with scalar hysteresis operator, Math. Bohem. 126 (2) (2001) 363-377.
    • (2001) Math. Bohem. , vol.126 , Issue.2 , pp. 363-377
    • Franců, J.1
  • 13
    • 84968502599 scopus 로고
    • The asymptotic behavior of gas in an n-dimensional porous medium
    • A. Friedman, S. Kamin, The asymptotic behavior of gas in an n-dimensional porous medium, Trans. Amer. Math. Soc. 262 (2) (1980) 551-563.
    • (1980) Trans. Amer. Math. Soc. , vol.262 , Issue.2 , pp. 551-563
    • Friedman, A.1    Kamin, S.2
  • 14
    • 0037736979 scopus 로고    scopus 로고
    • Maximal viscosity solutions of the modified porous medium equation and their asymptotic behaviour
    • J. Hulshof, J.L. Vazquez, Maximal viscosity solutions of the modified porous medium equation and their asymptotic behaviour, Euro. J. Appl. Math. 7 (1996) 453-471.
    • (1996) Euro. J. Appl. Math. , vol.7 , pp. 453-471
    • Hulshof, J.1    Vazquez, J.L.2
  • 15
    • 84862599035 scopus 로고
    • Some problems of the qualitative theory of nonlinear degenerate second-order parabolic equations
    • A.S. Kalashnikov, Some problems of the qualitative theory of nonlinear degenerate second-order parabolic equations, Russian Math. Surveys 42 (2) (1987) 169-222.
    • (1987) Russian Math. Surveys , vol.42 , Issue.2 , pp. 169-222
    • Kalashnikov, A.S.1
  • 16
    • 0038751105 scopus 로고
    • On the Barenblatt equation of elasto-plastic filtration
    • S. Kamin, L.A. Peletier, J.L. Vazquez, On the Barenblatt equation of elasto-plastic filtration, Indiana Univ. Math, J. 40 (4) (1991) 1333-1362.
    • (1991) Indiana Univ. Math. J. , vol.40 , Issue.4 , pp. 1333-1362
    • Kamin, S.1    Peletier, L.A.2    Vazquez, J.L.3
  • 18
    • 0004259442 scopus 로고
    • Differential Models of Hysteresis
    • Springer, Berlin
    • A. Visintin, Differential Models of Hysteresis, Springer, Berlin, 1994.
    • (1994)
    • Visintin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.